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Finding the Third Proportional to 775,545 and 1,164,138

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Solution

The third proportional to 775,545 and 1,164,138 is: 1,747,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,545 : 1,164,138 = 1,164,138 : x
  2. Step 2: Convert to fraction form
    775,545/1,164,138 = 1,164,138/x
  3. Step 3: Cross multiply
    775,545x = 1,164,138 × 1,164,138
  4. Step 4: Simplify right side
    775,545x = 1,355,217,283,044
  5. Step 5: Solve for x
    x = 1,355,217,283,044/775,545
  6. Step 6: Final answer
    x = 1,747,438.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.